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| four dimensional math model of universe: Things to Make and Do in the Fourth Dimension Matt Parker, 2014-12-02 A book from the stand-up mathematician that makes math fun again! Math is boring, says the mathematician and comedian Matt Parker. Part of the problem may be the way the subject is taught, but it's also true that we all, to a greater or lesser extent, find math difficult and counterintuitive. This counterintuitiveness is actually part of the point, argues Parker: the extraordinary thing about math is that it allows us to access logic and ideas beyond what our brains can instinctively do—through its logical tools we are able to reach beyond our innate abilities and grasp more and more abstract concepts. In the absorbing and exhilarating Things to Make and Do in the Fourth Dimension, Parker sets out to convince his readers to revisit the very math that put them off the subject as fourteen-year-olds. Starting with the foundations of math familiar from school (numbers, geometry, and algebra), he reveals how it is possible to climb all the way up to the topology and to four-dimensional shapes, and from there to infinity—and slightly beyond. Both playful and sophisticated, Things to Make and Do in the Fourth Dimension is filled with captivating games and puzzles, a buffet of optional hands-on activities that entices us to take pleasure in math that is normally only available to those studying at a university level. Things to Make and Do in the Fourth Dimension invites us to re-learn much of what we missed in school and, this time, to be utterly enthralled by it. |
| four dimensional math model of universe: A Wrinkle in Time Madeleine L'Engle, 2010-04-01 NEWBERY MEDAL WINNER • TIME MAGAZINE’S 100 BEST FANTASY BOOKS OF ALL TIME • NOW A MAJOR MOTION PICTURE FROM DISNEY Read the ground-breaking science fiction and fantasy classic that has delighted children for over 60 years! A Wrinkle in Time is one of my favorite books of all time. I've read it so often, I know it by heart. —Meg Cabot Late one night, three otherworldly creatures appear and sweep Meg Murry, her brother Charles Wallace, and their friend Calvin O'Keefe away on a mission to save Mr. Murray, who has gone missing while doing top-secret work for the government. They travel via tesseract--a wrinkle that transports one across space and time--to the planet Camazotz, where Mr. Murray is being held captive. There they discover a dark force that threatens not only Mr. Murray but the safety of the whole universe. A Wrinkle in Time is the first book in Madeleine L’Engle’s Time Quintet. |
| four dimensional math model of universe: Geometry, Relativity and the Fourth Dimension Rudolf Rucker, 2012-06-08 Exposition of fourth dimension, concepts of relativity as Flatland characters continue adventures. Topics include curved space time as a higher dimension, special relativity, and shape of space-time. Includes 141 illustrations. |
| four dimensional math model of universe: The Fourth Dimension: Toward a Geometry of Higher Reality Rudy Rucker, 2014-09-17 One of the most talented contemporary authors of cutting-edge math and science books conducts a fascinating tour of a higher reality, the Fourth Dimension. Includes problems, puzzles, and 200 drawings. Informative and mind-dazzling. — Martin Gardner. |
| four dimensional math model of universe: The Fourth Dimension Rudy von Bitter Rucker, Rudy Rucker, 1985 A detailed description of what the fourth dimension would be like. |
| four dimensional math model of universe: The Wild World of 4-Manifolds Alexandru Scorpan, 2005-05-10 What a wonderful book! I strongly recommend this book to anyone, especially graduate students, interested in getting a sense of 4-manifolds. --MAA Reviews The book gives an excellent overview of 4-manifolds, with many figures and historical notes. Graduate students, nonexperts, and experts alike will enjoy browsing through it. -- Robion C. Kirby, University of California, Berkeley This book offers a panorama of the topology of simply connected smooth manifolds of dimension four. Dimension four is unlike any other dimension; it is large enough to have room for wild things to happen, but small enough so that there is no room to undo the wildness. For example, only manifolds of dimension four can exhibit infinitely many distinct smooth structures. Indeed, their topology remains the least understood today. To put things in context, the book starts with a survey of higher dimensions and of topological 4-manifolds. In the second part, the main invariant of a 4-manifold--the intersection form--and its interaction with the topology of the manifold are investigated. In the third part, as an important source of examples, complex surfaces are reviewed. In the final fourth part of the book, gauge theory is presented; this differential-geometric method has brought to light how unwieldy smooth 4-manifolds truly are, and while bringing new insights, has raised more questions than answers. The structure of the book is modular, organized into a main track of about two hundred pages, augmented by extensive notes at the end of each chapter, where many extra details, proofs and developments are presented. To help the reader, the text is peppered with over 250 illustrations and has an extensive index. |
| four dimensional math model of universe: Flatland Edwin A. Abbott, 2024-09-17 A book that combines science fiction, satire of Victorian society and politics, proving to be a great literary allegory. The illustrated world is populated by Squares, Triangles, Circles and Lines living in a two-dimensional universe, all strictly divided by class and gender. The narrator is precisely one of them, a Square. He will guide readers into his world by explaining the brilliant implications of two-dimensional life. Later, however, he will tell of his discovery of other, more geometrically complex universes such as the three-dimensional one, represented by his encounter with a Sphere. Thus begins a true journey of knowledge, which will lead him to that which can hardly be conceived by the mind. A unique book that has become a cult object by the scientific community and beyond. |
| four dimensional math model of universe: A Visual Introduction to the Fourth Dimension (Rectangular 4D Geometry) Chris McMullen, Chris McMullen Ph D, 2013-01-19 This colorful, visual introduction to the fourth dimension provides a clear explanation of the concepts and numerous illustrations. It is written with a touch of personality that makes this an engaging read instead of a dry math text. The content is very accessible, yet at the same time detailed enough to satisfy the interests of advanced readers. This book is devoted to geometry; there are no spiritual or religious components to this book. May you enjoy your journey into the fascinating world of the fourth dimension! Contents: Introduction Chapter 0: What Is a Dimension? Chapter 1: Dimensions Zero and One Chapter 2: The Second Dimension Chapter 3: Three-Dimensional Space Chapter 4: A Fourth Dimension of Space Chapter 5: Tesseracts and Hypercubes Chapter 6: Hypercube Patterns Chapter 7: Planes and Hyperplanes Chapter 8: Tesseracts in Perspective Chapter 9: Rotations in 4D Space Chapter 10: Unfolding a Tesseract Chapter 11: Cross Sections of a Tesseract Chapter 12: Living in a 4D House Further Reading Glossary About the Author Put on your spacesuit, strap on your safety harness, swallow your anti-nausea medicine, and enjoy this journey into a fourth dimension of space! 10D, 9D, 8D, 7D, 6D, 5D, 4D, 3D, 2D, 1D, 0D. Blast off! |
| four dimensional math model of universe: The Shape of Inner Space Shing-Tung Yau, Steven J. Nadis, 2010-09-07 The leading mind behind the mathematics of string theory discusses how geometry explains the universe we see. Illustrations. |
| four dimensional math model of universe: Our Mathematical Universe Max Tegmark, 2015-02-03 Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last—this is a book that has already prompted the attention and admiration of some of the most prominent scientists and mathematicians. |
| four dimensional math model of universe: Regular Polytopes H. S. M. Coxeter, 2012-05-23 Foremost book available on polytopes, incorporating ancient Greek and most modern work. Discusses polygons, polyhedrons, and multi-dimensional polytopes. Definitions of symbols. Includes 8 tables plus many diagrams and examples. 1963 edition. |
| four dimensional math model of universe: The Fourth Dimension and the Bible William Anthony Granville, 1922 |
| four dimensional math model of universe: The Planiverse A.K. Dewdney, 2012-12-06 A classic book about life in a two-dimensional universe, written by a well-known author. Now brought back into print in this revised and updated edition, the book is written within the great tradition of Abbott's Flatland, and Hinton's famous Sphereland. Accessible, imaginative, and clever, it will appeal to a wide array of readers, from serious mathematicians and computer scientists, to science fiction fans. |
| four dimensional math model of universe: Knots, Molecules, and the Universe Erica Flapan, 2015-12-22 This book is an elementary introduction to geometric topology and its applications to chemistry, molecular biology, and cosmology. It does not assume any mathematical or scientific background, sophistication, or even motivation to study mathematics. It is meant to be fun and engaging while drawing students in to learn about fundamental topological and geometric ideas. Though the book can be read and enjoyed by nonmathematicians, college students, or even eager high school students, it is intended to be used as an undergraduate textbook. The book is divided into three parts corresponding to the three areas referred to in the title. Part 1 develops techniques that enable two- and three-dimensional creatures to visualize possible shapes for their universe and to use topological and geometric properties to distinguish one such space from another. Part 2 is an introduction to knot theory with an emphasis on invariants. Part 3 presents applications of topology and geometry to molecular symmetries, DNA, and proteins. Each chapter ends with exercises that allow for better understanding of the material. The style of the book is informal and lively. Though all of the definitions and theorems are explicitly stated, they are given in an intuitive rather than a rigorous form, with several hundreds of figures illustrating the exposition. This allows students to develop intuition about topology and geometry without getting bogged down in technical details. |
| four dimensional math model of universe: Visualizing Mathematics with 3D Printing Henry Segerman, 2016-10-04 The first book to explain mathematics using 3D printed models. Winner of the Technical Text of the Washington Publishers Wouldn’t it be great to experience three-dimensional ideas in three dimensions? In this book—the first of its kind—mathematician and mathematical artist Henry Segerman takes readers on a fascinating tour of two-, three-, and four-dimensional mathematics, exploring Euclidean and non-Euclidean geometries, symmetry, knots, tilings, and soap films. Visualizing Mathematics with 3D Printing includes more than 100 color photographs of 3D printed models. Readers can take the book’s insights to a new level by visiting its sister website, 3dprintmath.com, which features virtual three-dimensional versions of the models for readers to explore. These models can also be ordered online or downloaded to print on a 3D printer. Combining the strengths of book and website, this volume pulls higher geometry and topology out of the realm of the abstract and puts it into the hands of anyone fascinated by mathematical relationships of shape. With the book in one hand and a 3D printed model in the other, readers can find deeper meaning while holding a hyperbolic honeycomb, touching the twists of a torus knot, or caressing the curves of a Klein quartic. |
| four dimensional math model of universe: String Theory For Dummies Andrew Zimmerman Jones, 2009-11-16 A clear, plain-English guide to this complex scientific theory String theory is the hottest topic in physics right now, with books on the subject (pro and con) flying out of the stores. String Theory For Dummies offers an accessible introduction to this highly mathematical theory of everything, which posits ten or more dimensions in an attempt to explain the basic nature of matter and energy. Written for both students and people interested in science, this guide explains concepts, discusses the string theory's hypotheses and predictions, and presents the math in an approachable manner. It features in-depth examples and an easy-to-understand style so that readers can understand this controversial, cutting-edge theory. |
| four dimensional math model of universe: The Universe Speaks in Numbers Graham Farmelo, 2019-05-28 How math helps us solve the universe's deepest mysteriesOne of the great insights of science is that the universe has an underlying order. The supreme goal of physicists is to understand this order through laws that describe the behavior of the most basic particles and the forces between them. For centuries, we have searched for these laws by studying the results of experiments. Since the 1970s, however, experiments at the world's most powerful atom-smashers have offered few new clues. So some of the world's leading physicists have looked to a different source of insight: modern mathematics. These physicists are sometimes accused of doing 'fairy-tale physics', unrelated to the real world. But in The Universe Speaks in Numbers, award-winning science writer and biographer Farmelo argues that the physics they are doing is based squarely on the well-established principles of quantum theory and relativity, and part of a tradition dating back to Isaac Newton. With unprecedented access to some of the world's greatest scientific minds, Farmelo offers a vivid, behind-the-scenes account of the blossoming relationship between mathematics and physics and the research that could revolutionize our understanding of reality.A masterful account of the some of the most groundbreaking ideas in physics in the past four decades. The Universe Speaks in Numbers is essential reading for anyone interested in the quest to discover the fundamental laws of nature. |
| four dimensional math model of universe: Hyperspace Michio Kaku, 1994-03-24 Are there other dimensions beyond our own? Is time travel possible? Can we change the past? Are there gateways to parallel universes? All of us have pondered such questions, but there was a time when scientists dismissed these notions as outlandish speculations. Not any more. Today, they are the focus of the most intense scientific activity in recent memory. In Hyperspace, Michio Kaku, author of the widely acclaimed Beyond Einstein and a leading theoretical physicist, offers the first book-length tour of the most exciting (and perhaps most bizarre) work in modern physics, work which includes research on the tenth dimension, time warps, black holes, and multiple universes. The theory of hyperspace (or higher dimensional space)--and its newest wrinkle, superstring theory--stand at the center of this revolution, with adherents in every major research laboratory in the world, including several Nobel laureates. Beginning where Hawking's Brief History of Time left off, Kaku paints a vivid portrayal of the breakthroughs now rocking the physics establishment. Why all the excitement? As the author points out, for over half a century, scientists have puzzled over why the basic forces of the cosmos--gravity, electromagnetism, and the strong and weak nuclear forces--require markedly different mathematical descriptions. But if we see these forces as vibrations in a higher dimensional space, their field equations suddenly fit together like pieces in a jigsaw puzzle, perfectly snug, in an elegant, astonishingly simple form. This may thus be our leading candidate for the Theory of Everything. If so, it would be the crowning achievement of 2,000 years of scientific investigation into matter and its forces. Already, the theory has inspired several thousand research papers, and has been the focus of over 200 international conferences. Michio Kaku is one of the leading pioneers in superstring theory and has been at the forefront of this revolution in modern physics. With Hyperspace, he has produced a book for general readers which conveys the vitality of the field and the excitement as scientists grapple with the meaning of space and time. It is an exhilarating look at physics today and an eye-opening glimpse into the ultimate nature of the universe. |
| four dimensional math model of universe: The Elegant Universe: Superstrings, Hidden Dimensions, and the Quest for the Ultimate Theory Brian Greene, 2003-09-30 Introduces the superstring theory that attempts to unite general relativity and quantum mechanics. |
| four dimensional math model of universe: Four Laws That Drive the Universe Peter Atkins, 2007-09-06 The laws of thermodynamics drive everything that happens in the universe. From the sudden expansion of a cloud of gas to the cooling of hot metal, and from the unfurling of a leaf to the course of life itself - everything is directed and constrained by four simple laws. They establish fundamental concepts such as temperature and heat, and reveal the arrow of time and even the nature of energy itself. Peter Atkins' powerful and compelling introduction explains what the laws are and how they work, using accessible language and virtually no mathematics. Guiding the reader from the Zeroth Law to the Third Law, he introduces the fascinating concept of entropy, and how it not only explains why your desk tends to get messier, but also how its unstoppable rise constitutes the engine of the universe. |
| four dimensional math model of universe: The Shape of a Life Shing-Tung Yau, Steve Nadis, 2019-02-19 A Fields medalist recounts his lifelong effort to uncover the geometric shape—the Calabi-Yau manifold—that may store the hidden dimensions of our universe. Harvard geometer Shing-Tung Yau has provided a mathematical foundation for string theory, offered new insights into black holes, and mathematically demonstrated the stability of our universe. In this autobiography, Yau reflects on his improbable journey to becoming one of the world’s most distinguished mathematicians. Beginning with an impoverished childhood in China and Hong Kong, Yau takes readers through his doctoral studies at Berkeley during the height of the Vietnam War protests, his Fields Medal–winning proof of the Calabi conjecture, his return to China, and his pioneering work in geometric analysis. This new branch of geometry, which Yau built up with his friends and colleagues, has paved the way for solutions to several important and previously intransigent problems. With complicated ideas explained for a broad audience, this book offers not only insights into the life of an eminent mathematician, but also an accessible way to understand advanced and highly abstract concepts in mathematics and theoretical physics. “The remarkable story of one of the world’s most accomplished mathematicians . . . Yau’s personal journey—from escaping China as a youngster, leading a gang outside Hong Kong, becoming captivated by mathematics, to making breakthroughs that thrust him on the world stage—inspires us all with humankind’s irrepressible spirit of discovery.” —Brian Greene, New York Times–bestselling author of The Elegant Universe “An unexpectedly intimate look into a highly accomplished man, his colleagues and friends, the development of a new field of geometric analysis, and a glimpse into a truly uncommon mind.” —The Boston Globe “Engaging, eminently readable. . . . For those with a taste for elegant and largely jargon-free explanations of mathematics, The Shape of a Life promises hours of rewarding reading.” —American Scientist |
| four dimensional math model of universe: The Biggest Ideas in the Universe Sean Carroll, 2022-09-20 INSTANT NEW YORK TIMES BESTSELLER “Most appealing... technical accuracy and lightness of tone... Impeccable.”—Wall Street Journal “A porthole into another world.”—Scientific American “Brings science dissemination to a new level.”—Science The most trusted explainer of the most mind-boggling concepts pulls back the veil of mystery that has too long cloaked the most valuable building blocks of modern science. Sean Carroll, with his genius for making complex notions entertaining, presents in his uniquely lucid voice the fundamental ideas informing the modern physics of reality. Physics offers deep insights into the workings of the universe but those insights come in the form of equations that often look like gobbledygook. Sean Carroll shows that they are really like meaningful poems that can help us fly over sierras to discover a miraculous multidimensional landscape alive with radiant giants, warped space-time, and bewilderingly powerful forces. High school calculus is itself a centuries-old marvel as worthy of our gaze as the Mona Lisa. And it may come as a surprise the extent to which all our most cutting-edge ideas about black holes are built on the math calculus enables. No one else could so smoothly guide readers toward grasping the very equation Einstein used to describe his theory of general relativity. In the tradition of the legendary Richard Feynman lectures presented sixty years ago, this book is an inspiring, dazzling introduction to a way of seeing that will resonate across cultural and generational boundaries for many years to come. |
| four dimensional math model of universe: The Four-Dimensional Human: Ways of Being in the Digital World Laurence Scott, 2016-08-09 You are a four-dimensional human. Each of us exists in three-dimensional, physical space. But, as a constellation of everyday digital phenomena rewires our lives, we are increasingly coaxed from the containment of our predigital selves into a wonderful and eerie fourth dimension, a world of ceaseless communication, instant information, and global connection. Our portals to this new world have been wedged open, and the silhouette of a figure is slowly taking shape. But what does it feel like to be four-dimensional? How do digital technologies influence the rhythms of our thoughts, the style and tilt of our consciousness? What new sensitivities and sensibilities are emerging with our exposure to the delights, sorrows, and anxieties of a networked world? And how do we live in public with these recoded private lives? Laurence Scott—hailed as a New Generation Thinker by the Arts and Humanities Research Council and the BBC—shows how this four-dimensional life is dramatically changing us by redefining our social lives and extending the limits of our presence in the world. Blending tech-philosophy with insights on everything from Seinfeld to the fall of Gaddafi, Scott stands with a rising generation of social critics hoping to understand our new reality. His virtuosic debut is a revelatory and original exploration of life in the digital age. |
| four dimensional math model of universe: The Knot Book Colin Conrad Adams, 2004 Knots are familiar objects. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. This work offers an introduction to this theory, starting with our understanding of knots. It presents the applications of knot theory to modern chemistry, biology and physics. |
| four dimensional math model of universe: Strings and Geometry Clay Mathematics Institute. Summer School, Isaac Newton Institute for Mathematical Sciences, 2004 Contains selection of expository and research article by lecturers at the school. Highlights current interests of researchers working at the interface between string theory and algebraic supergravity, supersymmetry, D-branes, the McKay correspondence andFourer-Mukai transform. |
| four dimensional math model of universe: Sphereland Dionys Burger, 1983 |
| four dimensional math model of universe: A Beginner's Guide to Constructing the Universe Michael S. Schneider, 2014-04-01 Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us. But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe, Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals. Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance. This book is an education in the world and everything we can't see within it. Contains numerous b&w photos and illustrations. |
| four dimensional math model of universe: Warped Passages Lisa Randall, 2009-10-21 The universe has many secrets. It may hide additional dimensions of space other than the familier three we recognize. There might even be another universe adjacent to ours, invisible and unattainable . . . for now. Warped Passages is a brilliantly readable and altogether exhilarating journey that tracks the arc of discovery from early twentieth-century physics to the razor's edge of modern scientific theory. One of the world's leading theoretical physicists, Lisa Randall provides astonishing scientific possibilities that, until recently, were restricted to the realm of science fiction. Unraveling the twisted threads of the most current debates on relativity, quantum mechanics, and gravity, she explores some of the most fundamental questions posed by Nature—taking us into the warped, hidden dimensions underpinning the universe we live in, demystifying the science of the myriad worlds that may exist just beyond our own. |
| four dimensional math model of universe: After Physics David Z Albert, 2015 Here the philosopher and physicist David Z Albert argues, among other things, that the difference between past and future can be understood as a mechanical phenomenon of nature and that quantum mechanics makes it impossible to present the entirety of what can be said about the world as a narrative of “befores” and “afters.” |
| four dimensional math model of universe: The Cognitive-Theoretic Model of the Universe: A New Kind of Reality Theory Christopher Michael Langan, 2002-06-01 Paperback version of the 2002 paper published in the journal Progress in Information, Complexity, and Design (PCID). ABSTRACT Inasmuch as science is observational or perceptual in nature, the goal of providing a scientific model and mechanism for the evolution of complex systems ultimately requires a supporting theory of reality of which perception itself is the model (or theory-to-universe mapping). Where information is the abstract currency of perception, such a theory must incorporate the theory of information while extending the information concept to incorporate reflexive self-processing in order to achieve an intrinsic (self-contained) description of reality. This extension is associated with a limiting formulation of model theory identifying mental and physical reality, resulting in a reflexively self-generating, self-modeling theory of reality identical to its universe on the syntactic level. By the nature of its derivation, this theory, the Cognitive Theoretic Model of the Universe or CTMU, can be regarded as a supertautological reality-theoretic extension of logic. Uniting the theory of reality with an advanced form of computational language theory, the CTMU describes reality as a Self Configuring Self-Processing Language or SCSPL, a reflexive intrinsic language characterized not only by self-reference and recursive self-definition, but full self-configuration and self-execution (reflexive read-write functionality). SCSPL reality embodies a dual-aspect monism consisting of infocognition, self-transducing information residing in self-recognizing SCSPL elements called syntactic operators. The CTMU identifies itself with the structure of these operators and thus with the distributive syntax of its self-modeling SCSPL universe, including the reflexive grammar by which the universe refines itself from unbound telesis or UBT, a primordial realm of infocognitive potential free of informational constraint. Under the guidance of a limiting (intrinsic) form of anthropic principle called the Telic Principle, SCSPL evolves by telic recursion, jointly configuring syntax and state while maximizing a generalized self-selection parameter and adjusting on the fly to freely-changing internal conditions. SCSPL relates space, time and object by means of conspansive duality and conspansion, an SCSPL-grammatical process featuring an alternation between dual phases of existence associated with design and actualization and related to the familiar wave-particle duality of quantum mechanics. By distributing the design phase of reality over the actualization phase, conspansive spacetime also provides a distributed mechanism for Intelligent Design, adjoining to the restrictive principle of natural selection a basic means of generating information and complexity. Addressing physical evolution on not only the biological but cosmic level, the CTMU addresses the most evident deficiencies and paradoxes associated with conventional discrete and continuum models of reality, including temporal directionality and accelerating cosmic expansion, while preserving virtually all of the major benefits of current scientific and mathematical paradigms. |
| four dimensional math model of universe: Secrets of the Aether David W. Thomson III, 2004-10-06 Author David Thomson and Jim Bourassa have founded the Quantum AetherDynamics Institute, an organization dedicated to understanding the Aether. For the first time in human history, the Aether is fully quantified based upon empirical data. Through a very simple observation noted nearly 200 years ago by Charles Coulomb, the electromagnetic units have been corrected of an error that has led physics astray for so long. Now, electrodynamics expresses in simple dimensional equations, the neurosciences unite with quantum and classical physics, and we can precisely model the geometry of subatomic particles. |
| four dimensional math model of universe: The Science of Interstellar Kip Thorne, 2014-11-07 A journey through the otherworldly science behind Christopher Nolan’s award-winning film, Interstellar, from executive producer and Nobel Prize-winning physicist Kip Thorne. Interstellar, from acclaimed filmmaker Christopher Nolan, takes us on a fantastic voyage far beyond our solar system. Yet in The Science of Interstellar, Kip Thorne, the Nobel prize-winning physicist who assisted Nolan on the scientific aspects of Interstellar, shows us that the movie’s jaw-dropping events and stunning, never-before-attempted visuals are grounded in real science. Thorne shares his experiences working as the science adviser on the film and then moves on to the science itself. In chapters on wormholes, black holes, interstellar travel, and much more, Thorne’s scientific insights—many of them triggered during the actual scripting and shooting of Interstellar—describe the physical laws that govern our universe and the truly astounding phenomena that those laws make possible. Interstellar and all related characters and elements are trademarks of and © Warner Bros. Entertainment Inc. (s14). |
| four dimensional math model of universe: The Fourth Dimension Charles Howard Hinton, 1906 |
| four dimensional math model of universe: Death's End Cixin Liu, 2016-09-20 Mutually assured destruction has led to decades of peace between humanity and the Trisolarans, but a new force is awakening and this delicate balance can no longer hold... Half a century after the Doomsday Battle, the uneasy balance of Dark Forest Deterrence keeps the Trisolaran invaders at bay. Earth enjoys unprecedented prosperity due to the infusion of Trisolaran knowledge. With human science advancing daily and the Trisolarans adopting Earth culture, it seems that the two civilizations will soon be able to co-exist peacefully as equals without the terrible threat of mutually assured annihilation. But the peace has also made humanity complacent. Cheng Xin, an aerospace engineer from the early twenty-first century, awakens from hibernation in this new age. She brings with her knowledge of a long-forgotten program dating from the beginning of the Trisolar Crisis, and her very presence may upset the delicate balance between two worlds. Will humanity reach for the stars or die in its cradle? Death's End is the New York Times bestselling conclusion to Cixin Liu's tour-de-force series that began with The Three-Body Problem. The War of the Worlds for the twenty-first century . . . Packed with a sense of wonder. --The Wall Street Journal A meditation on technology, progress, morality, extinction, and knowledge that doubles as a cosmos- in-the-balance thriller. --NPR The Remembrance of Earth's Past Trilogy The Three-Body Problem The Dark Forest Death's End Other Books Ball Lightning (forthcoming) |
| four dimensional math model of universe: The Universe in Zero Words Dana Mackenzie, 2013-08-25 Most popular books about science, and even about mathematics, tiptoe around equations as if they were something to be hidden from the reader's tender eyes. Dana Mackenzie starts from the opposite premise: He celebrates equations. No history of art would be complete without pictures. Why, then, should a history of mathematics--the universal language of science--keep the masterpieces of the subject hidden behind a veil? The Universe in Zero Words tells the history of twenty-four great and beautiful equations that have shaped mathematics, science, and society--from the elementary (1+1=2) to the sophisticated (the Black-Scholes formula for financial derivatives), and from the famous (E=mc2) to the arcane (Hamilton's quaternion equations). Mackenzie, who has been called a popular-science ace by Booklist magazine, lucidly explains what each equation means, who discovered it (and how), and how it has affected our lives. Illustrated in color throughout, the book tells the human and often-surprising stories behind the invention or discovery of the equations, from how a bad cigar changed the course of quantum mechanics to why whales (if they could communicate with us) would teach us a totally different concept of geometry. At the same time, the book shows why these equations have something timeless to say about the universe, and how they do it with an economy (zero words) that no other form of human expression can match. The Universe in Zero Words is the ultimate introduction and guide to equations that have changed the world. |
| four dimensional math model of universe: Creation and Cosmos - The Literal Values of Genesis Garrison Clifford Gibson, 2012-11-27 There are many questions that intelligent people have about the Bible, science and evolution theory. Finding intelligent answers is difficult. The problem is that specialization is required in the sciences, in philosophy and theology, so people tend to pick one and disregard the others. There aren't so many people that consider all three fields with much depth of understanding. I made a try at that and wrote a book that is free to download. It is not only difficult to understand all three fields, it is difficult to select what should be written about, and difficult to write well. I didn't by any means cover everything; there is lots to cover. |
| four dimensional math model of universe: Introduction to Tensor Analysis and the Calculus of Moving Surfaces Pavel Grinfeld, 2013-09-24 This textbook is distinguished from other texts on the subject by the depth of the presentation and the discussion of the calculus of moving surfaces, which is an extension of tensor calculus to deforming manifolds. Designed for advanced undergraduate and graduate students, this text invites its audience to take a fresh look at previously learned material through the prism of tensor calculus. Once the framework is mastered, the student is introduced to new material which includes differential geometry on manifolds, shape optimization, boundary perturbation and dynamic fluid film equations. The language of tensors, originally championed by Einstein, is as fundamental as the languages of calculus and linear algebra and is one that every technical scientist ought to speak. The tensor technique, invented at the turn of the 20th century, is now considered classical. Yet, as the author shows, it remains remarkably vital and relevant. The author’s skilled lecturing capabilities are evident by the inclusion of insightful examples and a plethora of exercises. A great deal of material is devoted to the geometric fundamentals, the mechanics of change of variables, the proper use of the tensor notation and the discussion of the interplay between algebra and geometry. The early chapters have many words and few equations. The definition of a tensor comes only in Chapter 6 – when the reader is ready for it. While this text maintains a consistent level of rigor, it takes great care to avoid formalizing the subject. The last part of the textbook is devoted to the Calculus of Moving Surfaces. It is the first textbook exposition of this important technique and is one of the gems of this text. A number of exciting applications of the calculus are presented including shape optimization, boundary perturbation of boundary value problems and dynamic fluid film equations developed by the author in recent years. Furthermore, the moving surfaces framework is used to offer new derivations of classical results such as the geodesic equation and the celebrated Gauss-Bonnet theorem. |
| four dimensional math model of universe: Physics and Astrophysics Subal Kar, 2022-05-05 Physics and Astrophysics—Glimpses of the Progress provides a comprehensive account of physics and astrophysics from the time of Aristotle to the modern era of Stephen Hawking and beyond. It takes the readers of all ages through a pleasant journey touching on the major discoveries and inventions that have taken place in both the macro-world, including that in the cosmos, and the micro-world of atomic and subatomic particles related to physics and astrophysics. Use of historical perspective and anecdote makes the storytelling on the progress of physics and astrophysics both interesting and absorbing. While peering through different developments in these fields, the book never compromises with the sanctity of the scientific content, including the depth and beauty of the physical concept of the topics concerned and the philosophical viewpoints they represent. Where appropriate, the book also delves into value judgments of life that affect our civilization. Features The intricate concepts of physics and astrophysics are explained in simple terms and in easy-to-understand language. Physics and astrophysics are discussed in a connected and correlated way in a single volume of comprehensive size but in totality, which to date is the unique feature of this book. Starting with Aristotle’s Physics and going through the work of Newton, Einstein, Schrödinger, Hubble, Hewish, Hawking, and others, including the present research on dark energy, dark matter, and the fifth force of nature, the reader will be kept absorbed and spellbound. In addition to the fundamental principles of Newtonian mechanics, Einstein’s relativity, quantum mechanics, string theory, loop quantum gravity, and so on, the cutting-edge technologies of recent times, such as the Large Hadron Collider, Laser Interferometer Gravitational-wave Observatory, and Event Horizon Telescope, are also explored. The book is aimed primarily at undergraduate and graduate students, researchers, and professionals studying physics and astrophysics. General readers will also find the book useful to quench their thirst for knowledge about the developments in physics and astrophysics. |
| four dimensional math model of universe: On Einstein’s Path Alex Harvey, 2012-12-06 This collection of nearly forty essays in honor of the noted physicist and cosmologist Engelbert Schucking spans the gamut of research in Einsteins theory of general relativity and presents a lively and personal account of current work in the field. Indispensable for physicists involved in research in the field, the book includes important chapters by noted theorists such as A. Ashtekar, P.G. Bergmann, J. Ehlers, E.T. Newman, J.V. Narlikar, R. Penrose, D.W. Sciama, J. Stachel, and W. Rindler. |
| four dimensional math model of universe: The Fourth Dimension and Non-Euclidean Geometry in Modern Art, revised edition Linda Dalrymple Henderson, 2018-05-18 The long-awaited new edition of a groundbreaking work on the impact of alternative concepts of space on modern art. In this groundbreaking study, first published in 1983 and unavailable for over a decade, Linda Dalrymple Henderson demonstrates that two concepts of space beyond immediate perception—the curved spaces of non-Euclidean geometry and, most important, a higher, fourth dimension of space—were central to the development of modern art. The possibility of a spatial fourth dimension suggested that our world might be merely a shadow or section of a higher dimensional existence. That iconoclastic idea encouraged radical innovation by a variety of early twentieth-century artists, ranging from French Cubists, Italian Futurists, and Marcel Duchamp, to Max Weber, Kazimir Malevich, and the artists of De Stijl and Surrealism. In an extensive new Reintroduction, Henderson surveys the impact of interest in higher dimensions of space in art and culture from the 1950s to 2000. Although largely eclipsed by relativity theory beginning in the 1920s, the spatial fourth dimension experienced a resurgence during the later 1950s and 1960s. In a remarkable turn of events, it has returned as an important theme in contemporary culture in the wake of the emergence in the 1980s of both string theory in physics (with its ten- or eleven-dimensional universes) and computer graphics. Henderson demonstrates the importance of this new conception of space for figures ranging from Buckminster Fuller, Robert Smithson, and the Park Place Gallery group in the 1960s to Tony Robbin and digital architect Marcos Novak. |
Four - Buy Now, Pay Later
Buy Now, Pay Later. Allow your shoppers to pay over time while you get paid today, risk free!
4 - Wikipedia
4 (four) is a number, numeral and digit. It is the natural number following 3 and preceding 5. It is a square number, the smallest semiprime and composite number, and is considered unlucky in …
Four Seasons at North Caldwell - North Caldwell, NJ - 55Places.com
Four Seasons at North Caldwell is a 55+ community located in tranquil North Caldwell, New Jersey. This active adult community offers beautiful condominiums with spacious layouts and ample …
FOUR Definition & Meaning - Merriam-Webster
The meaning of FOUR is a number that is one more than three. How to use four in a sentence.
Four Definition & Meaning | Britannica Dictionary
“What time is it?” “It's four.” I leave each day at four. Four (of them) are broken.
Four - definition of four by The Free Dictionary
1. a cardinal number, three plus one. 2. a symbol of this number, 4 or IV or IIII. 3. a set of this many persons or things. 4. a. an automobile powered by a four-cylinder engine. b. the engine itself. 5. …
FOUR | definition in the Cambridge English Dictionary
FOUR meaning: 1. the number 4: 2. a team of four people in rowing, or the boat that they use 3. in cricket, four…. Learn more.
FOUR definition in American English | Collins English Dictionary
7 senses: 1. the cardinal number that is the sum of three and one 2. a numeral, 4, IV, etc, representing this number 3..... Click for more definitions.
Four Definition & Meaning - YourDictionary
The cardinal number between three and five; 4; IV. The fourth in a set or sequence. Any group of four people or things. (countable) The digit or figure 4; an occurrence thereof. Totaling one more …
119 Four Seasons Dr - Apartments.com
Fantastic top/3rd floor unit in the highly sought-after adult 55+ community, The Four Seasons at North Caldwell. This stunning East / South facing unit is sun-filled, with a gracious open floor plan …
Four - Buy Now, Pay Later
Buy Now, Pay Later. Allow your shoppers to pay over time while you get paid today, risk free!
4 - Wikipedia
4 (four) is a number, numeral and digit. It is the natural number following 3 and preceding 5. It is a square number, the smallest semiprime and composite number, and is considered unlucky in …
Four Seasons at North Caldwell - North Caldwell, NJ - 55Places.com
Four Seasons at North Caldwell is a 55+ community located in tranquil North Caldwell, New Jersey. This active adult community offers beautiful condominiums with spacious layouts and ample …
FOUR Definition & Meaning - Merriam-Webster
The meaning of FOUR is a number that is one more than three. How to use four in a sentence.
Four Definition & Meaning | Britannica Dictionary
“What time is it?” “It's four.” I leave each day at four. Four (of them) are broken.
Four - definition of four by The Free Dictionary
1. a cardinal number, three plus one. 2. a symbol of this number, 4 or IV or IIII. 3. a set of this many persons or things. 4. a. an automobile powered by a four-cylinder engine. b. the engine itself. 5. …
FOUR | definition in the Cambridge English Dictionary
FOUR meaning: 1. the number 4: 2. a team of four people in rowing, or the boat that they use 3. in cricket, four…. Learn more.
FOUR definition in American English | Collins English Dictionary
7 senses: 1. the cardinal number that is the sum of three and one 2. a numeral, 4, IV, etc, representing this number 3..... Click for more definitions.
Four Definition & Meaning - YourDictionary
The cardinal number between three and five; 4; IV. The fourth in a set or sequence. Any group of four people or things. (countable) The digit or figure 4; an occurrence thereof. Totaling one more …
119 Four Seasons Dr - Apartments.com
Fantastic top/3rd floor unit in the highly sought-after adult 55+ community, The Four Seasons at North Caldwell. This stunning East / South facing unit is sun-filled, with a gracious open floor plan …
